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Finding the Fourth Proportional to 568.03, 851.80 and 260.08

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Solution

The fourth proportional to 568.03, 851.80 and 260.08 is: 390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.03 : 851.80 = 260.08 : x
  2. Step 2: Convert to fraction form
    568.03/851.80 = 260.08/x
  3. Step 3: Cross multiply
    568.03x = 851.80 × 260.08
  4. Step 4: Simplify right side
    568.03x = 221,536.14
  5. Step 5: Solve for x
    x = 221,536.14/568.03
  6. Step 6: Final answer
    x = 390.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.